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Finding the Third Proportional to 184,014 and 375,768

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Solution

The third proportional to 184,014 and 375,768 is: 767,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,014 : 375,768 = 375,768 : x
  2. Step 2: Convert to fraction form
    184,014/375,768 = 375,768/x
  3. Step 3: Cross multiply
    184,014x = 375,768 × 375,768
  4. Step 4: Simplify right side
    184,014x = 141,201,589,824
  5. Step 5: Solve for x
    x = 141,201,589,824/184,014
  6. Step 6: Final answer
    x = 767,341.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.